131,031

3³ × 23 × 211

Starting at 131,031, the Collatz iteration reaches 1 after 131 steps. The first transition is 393094; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 23 × 211

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 203,520

Proper Divisor Sum 72,489

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #131023 ← → #131041

Radix Representation

Decimal	131031
Binary	11111111111010111 (17 bits)
Octal	0o377727
Hexadecimal	0x1FFD7

Divisor Catalog (16)

1 3 9 23 27 69 207 211 621 633 1,899 4,853 5,697 14,559 43,677 131,031

Collatz Trajectory (131 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

131,031 393,094 196,547 589,642 294,821 884,464 442,232 221,116 110,558 55,279 165,838 82,919 248,758 124,379 373,138 186,569 559,708 279,854 139,927 419,782 209,891 629,674 314,837 944,512 472,256 236,128 118,064 59,032 29,516 14,758 7,379 22,138 11,069 33,208 16,604 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990

More profiles

Browse other published profiles and their separate link collections.

Profile #1,085,388 Profile #2,866,586 Profile #2,416,671 Profile #5,064,289 Profile #3,469,465 Profile #4,735,257 Profile #3,997,595 Profile #8,533,971

← Previous Integer #131,030 Browse Full Index Next Integer #131,032 →